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Finding the Fourth Proportional to 384,820.38, 531,054.09 and 215,057.34

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Solution

The fourth proportional to 384,820.38, 531,054.09 and 215,057.34 is: 296,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,820.38 : 531,054.09 = 215,057.34 : x
  2. Step 2: Convert to fraction form
    384,820.38/531,054.09 = 215,057.34/x
  3. Step 3: Cross multiply
    384,820.38x = 531,054.09 × 215,057.34
  4. Step 4: Simplify right side
    384,820.38x = 114,207,079,991.52
  5. Step 5: Solve for x
    x = 114,207,079,991.52/384,820.38
  6. Step 6: Final answer
    x = 296,780.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.